arXiv Open Access 2020

Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side

A. Lyaghfouri

Lihat Sumber

Abstrak

We show that bounded solutions of the quasilinear elliptic equation $Δ_{p(x)} u=g+div(\textbf{F})$ are locally Hölder continuous provided that the functions $g$ and $\textbf{F}$ are in suitable Lebesgue spaces.

Topik & Kata Kunci

math.AP

Penulis (1)

A. Lyaghfouri

Format Sitasi

APA MLA BibTeX

Lyaghfouri, A. (2020). Hölder continuity for the solutions of the p(x)-Laplace equation with general right-hand side. https://arxiv.org/abs/2010.13131

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓